Geometric aspects of transversal Killing spinors on Riemannian flows

by Nicolas Ginoux and Georges Habib

Abh. Math. Sem. Univ. Hamburg 78 (2008), 69-90

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Abstract: We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows M carrying non-trivial solutions to that equation in case M is a local Riemannian product, a Sasakian manifold or 3-dimensional.

Nicolas Ginoux, 10.03.2011